Simulation of graphene-containing viscous fluid motion in the gap between static and rotating discs

The motion of a graph-containing viscous fluid between stationary and rotating disks is considered. The initial differential equations of motion for the elementary volume of a liquid are compiled and the initial conditions are determined. Assuming that the flow in the gap is a Couette flow, an analytical solution has been obtained to change the radial and angular coordinates of the elementary volume with time. With the use of the mathematical package Maple, characteristic trajectories of the movement of elementary volumes of fluid in the gap between a fixed and rotating disk with different consumption characteristics and geometry are obtained. Calculated speed, time of stay and the path traveled by an elementary volume, depending on the initial coordinate of the thickness of the gap. (paper)